Notes on Self-dual Warped dS${}_3$ Spacetime

Abstract

In this paper, we investigate the warped dS/CFT correspondence of the self-dual warped dS${}_3$ spacetime, which is a solution of three-dimensional topologically massive gravity (TMG) with a positive cosmological constant. We discuss its thermodynamics at two cosmological horizons. We propose that the self-dual warped dS${}_3$ spacetime is holographically dual to a chiral conformal field theory. We analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations under the self-dual warped dS${}_3$ spacetime. It turns out that the frequencies of the quasinormal modes could be identified with the poles in the thermal boundary-boundary correlators.

23pages, references added

References in corpus (8)

• Warped AdS_3 Black Holes
• Semi-classical central charge in topologically massive gravity
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry and Quasi-normal Modes
• Quasinormal Modes of Self-Dual Warped AdS${}_3$ Black Hole in Topological Massive Gravity
• Quasi-normal Modes of Extremal Black Holes from Hidden Conformal Symmetry